Sloope intercept form is
y=mx+b
m=slope
b=y intercept =where the line passes through the y axis
we are given
line M has slope of 1 and passes through y axis at -2 (y intercept=-2)
equaton is therefor y=1x-2 or y=x-2
line N has slope of 1 and passes through y axis at -2 (y intercept=-2)
equaton is therefor y=1x-2 or y=x-2
compare
line M: y=x-2
line N: y=x-2
they are the same line and lines extend infinitely so therefor there are infinite number of solutions
Answer:
check online for more information
Answer:
eleven and three hundredths.
Step-by-step explanation:
7.79cm It is an equilateral triangle so it has 3 equal sides. That means each side is 9cm. <span>
Now draw a line from the top of the equilateral triangle to the base, and dividing it into two. You will have made two smaller triangles, with sides 9, 4.5, and h (the one you want to find).
A line drawn from the apex of an equilateral triangle to the midpoint of the base is perpendicular to the base, so you can use Pythagoras' Theorem!
4.5^2 + h^2 = 9^2
h = sqrt(9^2 - 4.5^2)
Therefore, the height is 7.79cm (2 decimal places)</span><span>
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1. It
takes 8 x 4 x 15 cubes, or 480 cubes with side lengths of ¼ inch. The
volume of the right rectangular prism is 480/64 = 7 ½ cubic inches or 2 x
1 x 3 ¾ = 7 ½ cubic inches.
2. It
takes 3 x 1 x 8 cubes, or 24 cubes with side lengths of ½ inch. The
volume of the right rectangular prism is 24/8 = 3 cubic inches or 1 ½ x ½
x 4 = 3 cubic inches.
3. It
takes 9 x 3 x 4 cubes, or 108 cubes with side lengths of ½ inch. The
volume of the right rectangular prism is 108/8 = 13 ½ cubic inches or 4 ½
x 1 1/2 x 2 = 13 1/2 cubic inches.
4. It
takes 3 x 2 x 8 cubes, or 48 cubes with side lengths of ¼ inch. The
volume of the right rectangular prism is 48/64 = ¾ cubic inches or ¾ x ½
x 2 = ¾ cubic inches.
5. It
takes 5 x 7 x 8 cubes, or 280 cubes with side lengths of ½ inch. The
volume of the right rectnagular prism is 280/8 = 35 cubic inches or 2 ½ x
3 ½ x 4 = 35 cubic inches.
